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Gasparis, I., Papadiamantis, M. K., Zisimopoulou, D. Z. (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 05D10, 46B03. Given r ∈ (1, ∞), we construct a new L∞ separable Banach space which is lr saturated.
Stanisław Szufla (1977)
Annales Polonici Mathematici
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Jochen Reinermann (1970)
Annales Polonici Mathematici
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J. R. Holub (1971)
Colloquium Mathematicae
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K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Alistair Bird, Niels Jakob Laustsen (2010)
Banach Center Publications
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We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property on the other. We then investigate the properties of these James-Schreier spaces, paying particular attention to how key properties of their 'ancestors' (that is, the James space and the Schreier space) are expressed in them. Our main...
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Stephen A. Saxon, Albert Wilansky (1977)
Colloquium Mathematicae
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Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Dana Fraňková (2019)
Mathematica Bohemica
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This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
Michał Kisielewicz (1989)
Annales Polonici Mathematici
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Vincenzo B. Moscatelli (1973)
Publications du Département de mathématiques (Lyon)
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Julio Flores, César Ruiz (2006)
Studia Mathematica
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Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.
Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.